[blog] Update Toolpad Studio marketing page links in the blogs (#43407)

docs/pages/blog/2023-toolpad-beta-announcement.md

@@ -98,7 +98,7 @@ Lastly, Toolpad is the only product that offers a drag-and-drop UI builder close
 ## How can I use Toolpad?
 
 Toolpad is available as an npm package. Follow the [Installation guide](https://mui.com/toolpad/studio/getting-started/installation/) in the docs to get started.
-You can learn more about Toolpad by visiting the [home page](https://mui.com/toolpad/).
+You can learn more about Toolpad by visiting the [home page](https://mui.com/toolpad/studio/).
 
 <img alt="Toolpad documentation and instructions on how to use it" src="/static/blog/2023-toolpad-beta-announcement/docs.png" loading="lazy" width="2400" height="1394" />
 

docs/pages/blog/toolpad-use-cases.md

@@ -11,7 +11,7 @@ Toolpad helps full-stack engineers build internal tools quickly.
 Internal tools encompass data-intensive CRUD interfaces, analytics dashboards, or custom apps that make teams productive.
 Toolpad offers a low-code, GUI-based, code-friendly way of building apps and comes as an npm package that can be imported into an existing codebase.
 
-We've been dogfooding [Toolpad](https://mui.com/toolpad/) at MUI to build our internal tools, and it has proven beneficial for us to easily assemble well-organized, centrally located KPI dashboards and operations apps.
+We've been dogfooding [Toolpad Studio](https://mui.com/toolpad/studio/) at MUI to build our internal tools, and it has proven beneficial for us to easily assemble well-organized, centrally located KPI dashboards and operations apps.
 In this blog post, we'll discuss four such apps, and explain how we used Toolpad to turn our ideas into reality.
 
 <a href="https://tools-public.mui.com/prod/pages/OverviewPage">